Finding the Third Proportional to 10,416 and 21,786

Step by Step Solution

1. Step 1: Write the proportion equation
   10,416 : 21,786 = 21,786 : x
2. Step 2: Convert to fraction form
   10,416/21,786 = 21,786/x
3. Step 3: Cross multiply
   10,416x = 21,786 × 21,786
4. Step 4: Simplify right side
   10,416x = 474,629,796
5. Step 5: Solve for x
   x = 474,629,796/10,416
6. Step 6: Final answer
   x = 45,567.38